{"paper":{"title":"Quark and gluon entanglement in the proton on the light cone at intermediate $x$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Adrian Dumitru, Eric Kolbusz","submitted_at":"2022-02-03T19:21:07Z","abstract_excerpt":"In QCD with $N_c$ colors the anti-symmetric valence quark color space singlet state $\\sim \\epsilon_{i_1\\cdots i_{N_c}} |i_1,\\cdots, i_{N_c}\\rangle$ of the proton corresponds to the reduced density matrix $\\rho_{ij}=(1/N_c) \\delta_{ij}$ for a single color degree of freedom. Its degenerate spectrum of eigenvalues, $\\lambda_i=1/N_c$, the purity $\\mathrm{tr}~\\rho^2 = 1/N_c$, and the von~Neumann entropy $S_\\mathrm{vN}=\\log(N_c)$ all indicate maximal entanglement of color. On the other hand, for $N_c\\to\\infty$ the spatial wave function of the proton factorizes into valence quark wave functions deter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01803","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.01803/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}